All real logarithms below have positive arguments and a positive base different from 1. In the power law, the argument before raising it to a power is positive.
 \({{a}^{b}}=c\underset{{}}{\longleftrightarrow}b={{\log }_{a}}c\) 
\(a\) : base \(\qquad\)	\(b\) : index
Important Notes: •	\(a&gt;0,c&gt;0\) •	\({{\log }_{\mathrm{e}}}x=\ln x\) and \({{\log }_{10}}x=\lg x\)

All real logarithms below have positive arguments and a positive base different from 1. In the power law, the argument before raising it to a power is positive.


\({{a}^{b}}=c\underset{{}}{\longleftrightarrow}b={{\log }_{a}}c\)



Important Notes:
•	\(a>0,c>0\)
•	\({{\log }_{\mathrm{e}}}x=\ln x\) and \({{\log }_{10}}x=\lg x\)

Conversion between Exponential and Logarithmic Form

Conversion between Exponential and Logarithmic Form